20162016 has 144 divisors (see below), whose sum is σ = 66909024. Its totient is φ = 5640192.

The previous prime is 20161993. The next prime is 20162027. The reversal of 20162016 is 61026102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20162016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147100 + ... + 147236.

It is an arithmetic number, because the mean of its divisors is an integer number (464646).

Almost surely, 2^20162016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20162016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454512).

20162016 is an abundant number, since it is smaller than the sum of its proper divisors (46747008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20162016 is a wasteful number, since it uses less digits than its factorization.

20162016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20162016 is about 4490.2133579597. The cubic root of 20162016 is about 272.1727564586.

Adding to 20162016 its reverse (61026102), we get a palindrome (81188118).

The spelling of 20162016 in words is "twenty million, one hundred sixty-two thousand, sixteen".